The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part 1. The Error Analysis of the p-Version.
MARYLAND UNIV COLLEGE PARK LAB FOR NUMERICAL ANALYSIS
Pagination or Media Count:
This paper is the first one in the series of three which are addressing in detail the properties of the three basic versions of the finite element method in the one dimensional setting. The main emphasis is placed on the analysis when the exact solution has singularity of x sub alpha type. The first part analyzes the p-version, the second the h-version and general h-p version and the final third part addresses the problems of the adaptive h-p version. Additional keywords Legendre polynomials Legendre expansion estimates Asymptotic behavior Approximation mathematics Analytic functions. Author
- Numerical Mathematics